Author: Tammi Musgrove and Bob Benner
 Based on unit by: Tammi Musgrove
 Date Created: 6/20/2005 1:53:31 PM EST
 
Math and Art
VITAL INFORMATION
Subject(s):
Art, History, Mathematics, Music, Science, Technology

Grade/Level:
7-9

Time Required:
5 class periods, 50 minutes per class

Objective(s):
To show connections between art and math.

Summary:
Students will:
participate in a guided discovery activity involving the gathering of information on Art, Origami, and Mathematics.
* Individually:
review/explore geometric shapes and constructions, research origami on the web and with VRML sites,
make an origami figure from a set of directions,
(In journal) analyze the activity and suggest bridge design improvements;
* With a group:
brainstorm and solve the "origami bridge" problem,
design and build an origami bridge,
test their design against the designs of other students and groups.
* Individually or with a partner:
Students will produce an origami sculpture and develop original origami sculpture and create tessellation designs on a computer.

IMPLEMENTATION
Learning Activities:
1. Origami Bridge
 
 
2. Origami : more than art
 


Resources and Unit Handouts:
Links:
 1. VR pilots
 2. Complex Examples
 3. Interactive Origami
 4. What is a Tessellation?

STANDARDS
Standards compiled from learning activities:
International- Intl. Technology Education Association: Standards for Technology Literacy
• Category Design
• Standard 10Students will develop an understanding of the role of troubleshooting, research and development, invention and innovation, and experimentation in problem solving.
• Grade Range 9-12
 Benchmark IResearch and developement is a specific problem-solving approach that is used intensively in business and industry to prepare devices and systems for the marketplace.
Reasearch on specific topics of interest to the government or business and industry can provide more information on a subject, and, in many cases, it can provide knowledge to create an invention or innovation. Development helps to prepare a product or system for final production. Product development of this type frequently requires sustained effort from teams of people having diverse backgrounds.

WV- West Virginia Content Standards and Objectives
• Subject Math
• Grade or Course Geometry and Applied Geometry
• Standard Standard 3: Geometry (MA.S.3)
Students will:
 Detail analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships;
 Detail specify locations and describe spatial relationships using coordinate geometry and other representational systems;
 Detail solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
 Objective G.3.2 differentiate between inductive and deductive reasoning.
 Objective G.3.18 using transformational geometry, create a reflection, translation, rotation, glide reflection and dilation of a figure; and apply transformations and use symmetry to analyze mathematical situations.
• Subject Art
• Grade or Course Grade 7 – General Art
• Standard Standard 1: Media, Techniques and Processes (VA.S.1)
Students will:
 Detail identify media and materials used in creating art
 Detail understand processes and techniques in creating art
 Detail apply problem-solving skills in creating two-dimensional and three-dimensional works of art; and
 Detail use materials, tools, and technology in a safe and responsible manner.
 Objective VA.7.1.4 demonstrate the safe and effective use of materials, tools, and technology.
 Performance Descriptor Distinguished:
The student demonstrates exceptional and exemplary performance with distinctive and sophisticated application of knowledge and skills that exceeds the standard in Grade 7-General Art. A seventh grade student performing at the distinguished level selects and uses media, techniques, technologies, and processes to communicate a personal experience or idea. Students critique the effectiveness of his/her choices of media, techniques, technologies, and processes to communicate a personal experience or idea. Student demonstrates safe and effective use of materials, tools, and technology.
 Performance Descriptor Above Mastery:
The student demonstrates competent and proficient performance and shows a thorough and effective application of knowledge and skills that exceeds the standard in Grade 7-General Art. A seventh grade student performing at the above mastery level selects, refines, and uses media, techniques, technologies, and processes to communicate a personal experience or idea. The student compares and contrasts the effectiveness of his/her choices of media, techniques, technologies, and processes to communicate a personal experience or idea. Student demonstrates safe and effective use of materials, tools, and technology.
 Performance Descriptor Mastery:
The student demonstrates fundamental course or grade level knowledge and skills by showing consistent and accurate academic performance that meets the standard in Grade 7-General Art. A seventh grade student performing at the mastery level selects and uses media, techniques, technologies, and processes to communicate a personal experience or idea. The student refines and explains the effectiveness of his/her choices of media, techniques, technologies, and processes to communicate a personal experience or idea. Student demonstrates safe and effective use of materials, tools, and technology.
 Performance Descriptor Partial Mastery:
The student demonstrates basic but inconsistent performance of fundamental knowledge and skills characterized by errors and/or omissions in Grade 7-General Art. Performance needs further development. A seventh grade student performing at the partial mastery level selects and uses, media, techniques, technologies, and processes, with teacher assistance. Student demonstrates safe and effective use of materials, tools, and technology with monitoring.
 Performance Descriptor Novice:
The student demonstrates substantial need for the development of fundamental knowledge and skills, characterized by fragmented and incomplete performance in Grade 7-General Art. Performance needs considerable development. A seventh grade student performing at the novice level selects a media to communicate a personal experience. Student demonstrates safe and effective use of materials, tools, and technology with constant monitoring.
• Standard Standard 2: Elements of Art and Principles of Design (VA.S.2)
Students will:
 Detail identify selected elements of art and principles of design as they relate to art and the environment;
 Detail understand qualities of elements of art and principles of design as they apply to two-dimensional and three-dimensional objects and artworks;
 Detail apply elements of art and principles of design as they relate to the problem-solving skills in the creation of art; and
 Detail communicate expressive ideas that demonstrate an understanding of structures and functions in art.
 Objective VA.7.2.5 create art using positive and negative space, e.g., architectural forms, printmaking, sculpture, and ceramics.
 Objective VA.7.2.9 create three-dimensional forms using symmetrical or asymmetrical balance.
 Objective VA.7.2.11 create art using visual rhythm and repetition of patterns, e.g., mathematical-like, Escher.
 Objective VA.7.2.15 analyze and evaluate application of elements of art and principles of design as they apply to the creation of two-dimensional and three-dimensional works of art.
 Objective VA.7.2.16 use the elements of art and principles of design to effectively communicate ideas.
 Performance Descriptor Distinguished:
The student demonstrates exceptional and exemplary performance with distinctive and sophisticated application of knowledge and skills that exceeds the standard in Grade 7-General Art. A seventh grade student performing at the distinguished level uses selected elements of art and principles of design in the creation of artworks. The student effectively analyzes and evaluates the effectiveness of his/her choices in the communication of ideas as they relate to two-dimensional and three-dimensional works of art. The student will present an oral or written critique of how well they communicated ideas.
 Performance Descriptor Above Mastery:
The student demonstrates competent and proficient performance and shows a thorough and effective application of knowledge and skills that exceeds the standard in Grade 7-General Art. A seventh grade student performing at the above mastery level compares, contrasts, and uses selected elements of art and principles of design in the creation of artworks. The student analyzes and evaluates the effectiveness of his/her choices in the communication of ideas as they relate to two-dimensional and three-dimensional works of art.
 Performance Descriptor Mastery:
The student demonstrates fundamental course or grade level knowledge and skills by showing consistent and accurate academic performance that meets the standard in Grade 7-General Art. A seventh grade student performing at the mastery level compares, contrasts, and uses the elements of art and principles of design in the creation of artworks. The student analyzes and evaluates the effectiveness of his/her choices as they relate to two-dimensional and three-dimensional works of art. The student uses the elements and principles to communicate ideas.
 Performance Descriptor Partial Mastery:
The student demonstrates basic but inconsistent performance of fundamental knowledge and skills characterized by errors and/or omissions in Grade 7-General Art. Performance needs further development. A seventh grade student performing at the partial mastery level uses selected elements of art and principles of design in the creation of artworks. The student discusses his/her choices as they relate to two- and three-dimensional works of art and how they communicate ideas.
 Performance Descriptor Novice:
The student demonstrates substantial need for the development of fundamental knowledge and skills, characterized by fragmented and incomplete performance in Grade 7-General Art. Performance needs considerable development. A seventh grade student performing at the novice level uses three elements of art and two principles of design to create two-dimensional and three-dimensional artworks which communicate an idea.
• Standard Standard 3: Subject Matter, Symbols and Ideas (VA.S.3)
Students will:
 Detail apply problem-solving skills to choices in creating art relative to subject matter, symbols, and ideas.
 Objective VA.7.3.2 select symbols and ideas as a subject for artwork.
 Objective VA.7.3.3 analyze how symbols and ideas communicate desired aesthetic results in an artwork.
• Standard Standard 4: Art History and Diversity (VA.S.4)
Students will:
 Detail identify how the visual arts have a history and specific relationship to culture;
 Detail analyze works of art that reflect different styles and time periods; and
 Detail demonstrate an understanding of how history, culture, and the arts influence each other.
 Objective VA.7.4.4 create two-dimensional or three-dimensional art based on a specific historical period.
• Standard Standard 5: Reflection and Analysis (VA.S.5)
Students will:
 Objective VA.7.5.1 compare reasons for creating works of art and cite examples, e.g., aesthetic, tradition, preservation, and self-expression.
 Objective VA.7.5.2 examine and compare the meaning and purpose between two-dimensional and three-dimensional artworks, e.g., paintings, drawings, and sculpture.

USA- ISTE: National Educational Technology Standards (NETS) for All Teachers
copyright © 2000, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), iste@iste.org, www.iste.org. All rights reserved. For more information about the NETS Project, contact Lajeane Thomas, Director, NETS Project, 318.257.3923, lthomas@latech.edu. Reprint permission does not constitute an endorsement by ISTE or the NETS Project.
• Standard IIITeaching, Learning, and the Curriculum.
Teachers implement curriculum plans, that include methods and strategies for applying technology to maximize student learning.
 Performance Indicator AFacilitate technology-enhanced experiences that address content standards and student technology standards.
 Performance Indicator BUse technology to support learner-centered strategies that address the diverse needs of students.
 Performance Indicator CApply technology to develop students’ higher order skills and creativity.
 Performance Indicator DManage student learning activities in a technology-enhanced environment.

USA- 21st Century Learning Skills & ICT Literacy
• Area Information and communication technology literacy
 Skill Thinking and problem-solving skills
 Skill Critical thinking and systems thinking
 Skill Problem identification, formulation, and solution
 Skill Creativity and intellectual curiosity
• Area Information and communication skills
 Skill Information and media literacy skills
 Skill Communication skills
• Area Interpersonal and self-direction skills
 Skill Interpersonal and collaborative skills
 Skill Self-direction
 Skill Accountability and adaptability
 Skill Social responsibility